Free Vibration of a Composite Timoshenko Beam Using the Dynamic Stiffness Method

2009 ◽  
Author(s):  
J.R. Banerjee
Keyword(s):  
Free Vibration ◽  
Timoshenko Beam ◽  
Dynamic Stiffness ◽  
Stiffness Method ◽  
Dynamic Stiffness Method ◽  
Composite Timoshenko Beam

scholarly journals Mode shape analysis of multiple cracked functionally graded beam-like structures by using dynamic stiffness method

2017 ◽  
Vol 39 (3) ◽  
pp. 215-228 ◽  
Author(s):  
Tran Van Lien ◽  
Ngo Trong Duc ◽  
Nguyen Tien Khiem
Keyword(s):  
Timoshenko Beam ◽  
Dynamic Stiffness ◽  
Beam Theory ◽  
Functionally Graded ◽  
Theoretical Development ◽  
Mode Shapes ◽  
Functionally Graded Beam ◽  
Stiffness Method ◽  
Dynamic Stiffness Method ◽  
Fgm Beam

Mode shapes of multiple cracked beam-like structures made of Functionally Graded Material (FGM) are analyzed by using the dynamic stiffness method. Governing equations in vibration theory of multiple cracked FGM beam are derived on the base of Timoshenko beam theory; power law variation of material; coupled spring model of crack and taking into account the actual position of neutral axis. A general solution of vibration in frequency domain is obtained and used for constructing dynamic stiffness matrix of the multiple cracked FGM Timoshenko beam element that provides an efficient method for modal analysis of multiple cracked FGM frame structures. The theoretical development is illustrated by numerical analysis of crack-induced change in mode shapes of multi-span continuous FGM beam.

scholarly journals Application of dynamic stiffness method in numerical free vibration analysis of stiffened plates

2017 ◽  
Vol 60 (2) ◽  
pp. 21-32
Author(s):  
Emilija Damnjanović ◽  
Miroslav Marjanović ◽  
Marija Nefovska-Danilović ◽  
Miloš Jočković ◽  
Nevenka Kolarević
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Dynamic Stiffness ◽  
Free Vibration Analysis ◽  
Stiffened Plates ◽  
Stiffness Method ◽  
Dynamic Stiffness Method
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